IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v531y2026ics0096300326002651.html

A solution approach for multi-objective intuitionistic fuzzy bimatrix games using information entropy and matrix norms: An application in operations management

Author

Listed:
  • Liu, Wenting
  • Zou, Du
  • Li, Wen

Abstract

In this paper, we propose an approximate equilibrium solution method for multi-objective intuitionistic fuzzy bimatrix games, which integrates information entropy and matrix norms. Firstly, by utilizing the information entropy of intuitionistic fuzzy payoff matrices under different objectives for each player, objective weights are assigned to convert the multi-objective game into a single-objective intuitionistic fuzzy bimatrix game. Subsequently, we extend matrix norms to the intuitionistic fuzzy environment and define relevant concepts such as the 1-norm and ∞-norm of intuitionistic fuzzy matrices. Furthermore, we establish boundary theorems for the game values and for the maximum and minimum components of equilibrium strategies in intuitionistic fuzzy bimatrix games. Based on these results, an approximate solution algorithm for intuitionistic fuzzy bimatrix games is proposed. Finally, a dual-objective competition example involving two omnichannel retail enterprises is presented to validate the feasibility and effectiveness of the proposed method.

Suggested Citation

  • Liu, Wenting & Zou, Du & Li, Wen, 2026. "A solution approach for multi-objective intuitionistic fuzzy bimatrix games using information entropy and matrix norms: An application in operations management," Applied Mathematics and Computation, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:apmaco:v:531:y:2026:i:c:s0096300326002651
    DOI: 10.1016/j.amc.2026.130213
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300326002651
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2026.130213?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:531:y:2026:i:c:s0096300326002651. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.